At that level of missions - and it also applies even to some of the lvl4 missions you can get - the combined value of loot + salvage far outweighs the payout + bonus, even with high social skill levels to increase payout etc.
Until you get your first mtu, a dual ship solution is ok. Run the mission with your combat ship, pick up any mission item you need (!), dock up but DON’T talk to agent, get destroyer or other ship (e.g. the Magnate has a salvaging bonus) fitted for salvaging, fly back to mission site (rclick in space has the mission bookmarks in the system), loot and salvage the wrecks, then dock up and hand in the mission.
As soon as you can afford it, buy an MTU. Even when you use a Noctis later in your pilot’s life it makes it a lot faster.
An MTU will speed up the process. You deploy it before you start shooitng, it will loot and especially group all the wrecks for when you come back with your salvaging ship (or if you have enough drone bay capacity in your combat ship to keep 5 salvaging drones with you). Grouping the wrecks is the best way to speed up the process.
Sell all you can (mostly the salvage) to some decent buy orders, keep or reprocess the remainder of the loot (make sure it’s a 50% yield station).
Making bookmarks in multiple rooms is an option, but as long as you don’t hand in the mission you have access to all of them anyway.